Scaled Graphs

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Answer Key & Explanations

Scaled Graphs · Grade 3 · Worksheet 3

1. A farmer is counting eggs from her chickens. Each picture of an egg on her chart represents 40 eggs. On Monday, there are 5 egg pictures. On Tuesday, there are 7 egg pictures. On Wednesday, there are 4 egg pictures. How many total eggs did the farmer collect from Monday to Wednesday? Answer: 640 Solution: Monday has 5 pictures, and each picture represents 40 eggs. So Monday: 5 × 40 = 200 eggs Tuesday has 7 pictures, and each picture represents 40 eggs.
   Full step-by-step solution

   Step 1: Monday has 5 pictures, and each picture represents 40 eggs. So Monday: 5 × 40 = 200 eggs Step 2: Tuesday has 7 pictures, and each picture represents 40 eggs. So Tuesday: 7 × 40 = 280 eggs Step 3: Wednesday has 4 pictures, and each picture represents 40 eggs. So Wednesday: 4 × 40 = 160 eggs Step 4: Add all three days together: 200 + 280 + 160 Step 5: First add 200 + 280 = 480 Step 6: Then add 480 + 160 = 640 The answer is 640.

2. Each ▲ = 7 points. Isabella has 12 triangles. How many points does she have? Answer: 84 Solution: Each triangle represents 7 points. Isabella has 12 triangles. Multiply the number of triangles by the value of each triangle: 12 × 7 = 84.
   Full step-by-step solution

   Step 1: Each triangle represents 7 points. Step 2: Isabella has 12 triangles. Step 3: Multiply the number of triangles by the value of each triangle: 12 × 7 = 84. The answer is 84.

3. Liam's class voted on their favorite type of book. The results are shown in the scaled picture graph below, where each book symbol represents 4 votes. Favorite Books Adventure: 📚📚📚 Mystery: 📚📚📚📚 Fantasy: 📚📚 How many more students voted for Mystery books than for Fantasy books? Answer: 8 Solution: Each book symbol 📚 represents 4 votes. Count the symbols for Mystery books. Mystery: 📚📚📚📚 → 4 symbols.
   Full step-by-step solution

   Let's go step-by-step. Step 1: Understand the graph scale. Each book symbol 📚 represents 4 votes. Step 2: Count the symbols for Mystery books. Mystery: 📚📚📚📚 → 4 symbols. Number of votes for Mystery = 4 symbols × 4 votes per symbol = 16 votes. Step 3: Count the symbols for Fantasy books. Fantasy: 📚📚 → 2 symbols. Number of votes for Fantasy = 2 symbols × 4 votes per symbol = 8 votes. Step 4: Find how many more students voted for Mystery than for Fantasy. Difference = Votes for Mystery − Votes for Fantasy Difference = 16 − 8 = 8. Step 5: Conclusion. 8 more students voted for Mystery books than for Fantasy books.

4. Each ▲ = 10 points. Isabella has 9 ▲. Mason has 12 ▲. How many more points does Mason have than Isabella? Answer: 30 Solution: Isabella's points: 9 × 10 = 90 points. Mason's points: 12 × 10 = 120 points. Difference: 120 - 90 = 30 points.
   Full step-by-step solution

   Step 1: Isabella's points: 9 × 10 = 90 points. Step 2: Mason's points: 12 × 10 = 120 points. Step 3: Difference: 120 - 90 = 30 points. Mason has 30 more points than Isabella.

5. The third grade students at Oakwood Elementary voted for their favorite school subject. The results are shown in a scaled picture bar graph where each book symbol represents 8 votes. Math has 5 book symbols, Science has 4 book symbols, Reading has 6 book symbols, and Art has 3 book symbols. How many more students voted for Reading than for Science? Answer: 16 Solution: Each book symbol represents 8 votes, and Reading has 6 symbols 6 × 8 = 48 students voted for Reading Each book symbol represents 8 votes, and Science has 4 symbols 4 × 8 = 32 students voted for Science Find the difference between Reading and Science votes 48 - 32 = 16 The answer is 16 more…
   Full step-by-step solution

   Step 1: Find how many students voted for Reading Each book symbol represents 8 votes, and Reading has 6 symbols 6 × 8 = 48 students voted for Reading Step 2: Find how many students voted for Science Each book symbol represents 8 votes, and Science has 4 symbols 4 × 8 = 32 students voted for Science Step 3: Find the difference between Reading and Science votes 48 - 32 = 16 The answer is 16 more students voted for Reading than for Science.

6. A scaled picture bar graph shows how many books each class read. Third grade is represented by 4 book pictures, fourth grade by 6 book pictures, and fifth grade by 5 book pictures. If each book picture represents 15 books, how many books did all three grades read in total? Answer: 225 Solution: We have a scaled picture bar graph where each book picture represents 15 books. Third grade: 4 book pictures Fourth grade: 6 book pictures Fifth grade: 5 book pictures Find the number of books for each grade.
   Full step-by-step solution

   Step 1: Understand the problem. We have a scaled picture bar graph where each book picture represents 15 books. Third grade: 4 book pictures Fourth grade: 6 book pictures Fifth grade: 5 book pictures Step 2: Find the number of books for each grade. For third grade: 4 pictures × 15 books per picture = 60 books For fourth grade: 6 pictures × 15 books per picture = 90 books For fifth grade: 5 pictures × 15 books per picture = 75 books Step 3: Add the books from all three grades. Total books = 60 + 90 + 75 Step 4: Perform the addition. 60 + 90 = 150 150 + 75 = 225 Step 5: State the final answer. All three grades read a total of 225 books.

7. The students in Mr. Johnson's class voted for their favorite school subject. The results are shown in a scaled picture bar graph where each book symbol represents 8 votes. Math has 5 book symbols, Science has 7 book symbols, and Reading has 4 book symbols. How many more students voted for Science than for Reading? Answer: 24 Solution: Each book symbol represents 8 votes, and Science has 7 symbols 7 × 8 = 56 students voted for Science Each book symbol represents 8 votes, and Reading has 4 symbols 4 × 8 = 32 students voted for Reading Find how many more students voted for Science than Reading 56 - 32 = 24 more students The…
   Full step-by-step solution

   Step 1: Find how many students voted for Science Each book symbol represents 8 votes, and Science has 7 symbols 7 × 8 = 56 students voted for Science Step 2: Find how many students voted for Reading Each book symbol represents 8 votes, and Reading has 4 symbols 4 × 8 = 32 students voted for Reading Step 3: Find how many more students voted for Science than Reading 56 - 32 = 24 more students The answer is 24.

8. Each ▲ = 5 points. Emma has 7 triangles. How many points does she have? Answer: 35 Solution: Each triangle represents 5 points. Emma has 7 triangles. To find the total points, multiply the number of triangles by the points per triangle: 7 × 5 = 35.
   Full step-by-step solution

   Step 1: Each triangle represents 5 points. Step 2: Emma has 7 triangles. Step 3: To find the total points, multiply the number of triangles by the points per triangle: 7 × 5 = 35. The answer is 35.